Results 51 to 60 of about 15,493,584 (247)

Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology

open access: yesJournal of Inequalities and Applications, 2021
In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
doaj   +1 more source

Fixed-circle theorems on \(G\)-metric spaces

open access: yes, 2023
In this paper, a discussion about the relationship betwee \(G\)-metric in the sense of \textit{Z. Mustafa} and \textit{B. Sims} [J. Nonlinear Convex Anal. 7, No. 2, 289--297 (2006; Zbl 1111.54025)] and \(S\)-metric in the sense of \textit{S. Sedghi} et al. [Mat. Vesn. 64, No. 3, 258--266 (2012; Zbl 1289.54158)] is presented. Then, the authors introduce
Kaplan, Elif, Taş, Nihal
openaire   +2 more sources

Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application

open access: yesAbstract and Applied Analysis, 2022
By combining the notions of G-metric space and b-metric space, in this paper, we present coincidence fixed-point theorems for p-hybrid mappings in Gb-metric spaces. An example is given to demonstrate the novelty of our main results.
Lucas Wangwe
doaj   +1 more source

Cyclic contractions via auxiliary functions on G-metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KARAPINAR, ERDAL, Bilgili, Nurcan
openaire   +2 more sources

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

open access: yesFEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes   +4 more
wiley   +1 more source

A metric approach to limit operators

open access: yes, 2017
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core   +1 more source

On coupled fixed point results in asymmetric G-metric spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2013
Abstract Using a combination of techniques introduced by Jleli and Samet (Fixed Point Theory Appl. 2012:210, 2012) and Samet et al. (Int. J. Anal. 2013:917158, 2013) on the one hand, and by Kadelburg et al. (Bull. Math. Anal. Appl. 4:51-63, 2012) on the other hand, we show that several coupled fixed point results in (ordered) G-metric spaces ...
Agarwal, Ravi P   +2 more
openaire   +2 more sources

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

open access: yesFEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

The Samuel realcompactification of a metric space [PDF]

open access: yes, 2017
In this paper we introduce a realcompactification for any metric space (X, d), defined by means of the family of all its real-valued uniformly continuous functions.
M. Isabel Garrido   +3 more
core   +1 more source

A generalization of G-metric spaces and related fixed point theorems [PDF]

open access: yesMathematical Inequalities & Applications, 2019
Summary: The idea of \(b\)-metric was proposed from the works of \textit{N. Bourbaki} [Topologie générale. Paris: Hermann (1974; Zbl 0337.54001)] and \textit{I. A. Bakhtin} [Funkts. Anal. 30, 26--37 (1989; Zbl 0748.47048)]. Subsequently, \textit{S. Czerwik} [Acta Math. Inform. Univ. Ostrav.
Jain, Kapil, Kaur, Jatinderdeep
openaire   +1 more source

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